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Finding the Third Proportional to 132,146 and 188,377

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Solution

The third proportional to 132,146 and 188,377 is: 268,535.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,146 : 188,377 = 188,377 : x
  2. Step 2: Convert to fraction form
    132,146/188,377 = 188,377/x
  3. Step 3: Cross multiply
    132,146x = 188,377 × 188,377
  4. Step 4: Simplify right side
    132,146x = 35,485,894,129
  5. Step 5: Solve for x
    x = 35,485,894,129/132,146
  6. Step 6: Final answer
    x = 268,535.51

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.